113 = 72 + m < B ( by the external angle of a triangle theorem)
Subtract 72 from both sides:-
113 - 72 = 72 - 72 + m < b
m<b = 41 degrees
There is only one solution that satisfies the equation.
14x = 24
x = 24/14 = 12/7
Answer:

Step-by-step explanation:
-Given the population mean is
and the standard deviation is
, we calculate the z-scores using the formula:

#The z-score for 1910 can be calculated as:

#The z-score for 1230can be calculated as:

#The z-score for 2190 is calculated as follows:

#The z-score for 1380 is calculated as:

Answer: -32
Step-by-step explanation:
35 (t + 29) = −3(3 − t)
Open the brackets
35t+1015= -9+3t
Collect like terms
35t-3t=-9-1015
32t= -1024
Divide both side by 32
32t/32 = -1024/32
t= -32
Answer:
The original equation must have been:

Step-by-step explanation:
A quadratic equation is in the form of :

And it is solved in the form of :
and
Now the given equation is :

We can see that here;
a = 7
b = -5
c = -2
So, the original equation must have been:
